What is the Least Common Multiple of 79335 and 79345?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 79335 and 79345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79335 and 79345, than apply into the LCM equation.

GCF(79335,79345) = 5
LCM(79335,79345) = ( 79335 × 79345) / 5
LCM(79335,79345) = 6294835575 / 5
LCM(79335,79345) = 1258967115

Least Common Multiple (LCM) of 79335 and 79345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79335 and 79345. First we will calculate the prime factors of 79335 and 79345.

Prime Factorization of 79335

Prime Factorization of 79345

Now multiplying the highest exponent prime factors to calculate the LCM of 79335 and 79345.

LCM(79335,79345) = 3² × 5¹ × 41¹ × 43¹ × 7¹ × 2267¹
LCM(79335,79345) = 1258967115